We look at the division of 938377 by 11 
Let's see how many times 11 fits into 938377.

Advancing to step 1:
9 divided by 11 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 11

Advancing to step 2:
93 divided by 11 is 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 88 from 93 and we're left with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 11

Step 3:
The number 11 fits into 58 5 times, leaving a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Deduct 55 from 58 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 11

Let's proceed to step 4:
If we divide 33 by 11, we get 3 and a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 853.0
Deduct 33 from 33 and we're left with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 11

Moving on to step 5:
If we divide 7 by 11, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 8530.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 11

Going ahead to step 6:
If we divide 77 by 11, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 85307.0
The remainder is 0 after subtracting 77 from 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 7:
When dividing 0 by 11, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 85307.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
11 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 85307.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 85307.0 with a balance of 0.0.